λ
Harmonic Matrix

1,234,702

2 × 72 × 43 × 293
Deficient Even Composite

1,234,702 has digital root 1. The neighboring primes are 1234687 and 1234703; its proper-divisor sum differs from the starting integer by -257,348.

Prime Factor Structure

Factorization String 2 × 7^2 × 43 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,212,056
Proper Divisor Sum 977,354
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1234687 ← → #1234703

Radix Representation

Decimal 1234702
Binary 100101101011100001110 (21 bits)
Octal 0o4553416
Hexadecimal 0x12D70E

Divisor Catalog (24)

1 2 7 14 43 49 86 98 293 301 586 602 2,051 2,107 4,102 4,214 12,599 14,357 25,198 28,714 88,193 176,386 617,351 1,234,702

Collatz Trajectory (173 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,234,702 617,351 1,852,054 926,027 2,778,082 1,389,041 4,167,124 2,083,562 1,041,781 3,125,344 1,562,672 781,336 390,668 195,334 97,667 293,002 146,501 439,504 219,752 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218

More profiles

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